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## Homework Statement

How many terms of the series

∞

Ʃ (-1)

^{n}/(ln(n+1))

n=1

are needed in order to estimate the exact sum within .01

## Homework Equations

I know that I need to use the remainder estimate for the integral test where R

_{n}=s-s

_{n}

and that ∫ from (n+1) to ∞ of f(x)dx [itex]\leq[/itex] R

_{n}[itex]\leq[/itex] ∫ from (n) to ∞ of f(x)dx

## The Attempt at a Solution

I tried to take the integral but I don't know how, and I cant figure out another way to approach the problem